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Finding the Third Proportional to 77,482 and 164,268

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Solution

The third proportional to 77,482 and 164,268 is: 348,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,482 : 164,268 = 164,268 : x
  2. Step 2: Convert to fraction form
    77,482/164,268 = 164,268/x
  3. Step 3: Cross multiply
    77,482x = 164,268 × 164,268
  4. Step 4: Simplify right side
    77,482x = 26,983,975,824
  5. Step 5: Solve for x
    x = 26,983,975,824/77,482
  6. Step 6: Final answer
    x = 348,261.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.